| Abstract [eng] |
This paper analyses homogeneous boundary-value problem of Riemann with the infinite index, when gradual order is 0<ρ<1. In every class - B and B(ρ) - the solution is partial analitic function, when its limit values meet the marginal condition in the points of real axis. The paper also discusses solvability of the problem in the special case for the half – plane. Moreover, functions are examinated, of which analytic upside and underside half-plane. The coefficient‘s zero and piles are analyzed as possible influential factors for the problem’s solvalibility. The paper examines dependence between given variables for which boundary-value problem of Riemann does not have limited solutions. Furthermore, general solution is presented, excluding cases when the problem is unsolvable in these classes. |
